supersymmetric quantum mechanics
Quantum field theory
Where a system of quantum mechanics is specified by
a system of supersymmetric quantum mechanics has
If we regard the Hamiltonian as the generator of the Poincare Lie algebra in one dimension, then the graded commutator is the supersymmetry extension to the super Poincare Lie algebra.
The data of a system of supersymmetric quantum mechanics may also be formalized in terms of a spectral triple.
- Edward Witten, Supersymmetry and Morse theory J. Differential Geom. Volume 17, Number 4 (1982), 661-692. (Euclid)
- Fred Cooper, Avinash Khare, Uday Sukhatme, Supersymmetry and Quantum Mechanics Physics Reports Volume 251 (1995), 267-385. arXiv:hep-th/9405029
Revised on May 17, 2013 03:13:05
by Urs Schreiber